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Finding the Third Proportional to 182,700 and 286,672

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Solution

The third proportional to 182,700 and 286,672 is: 449,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,700 : 286,672 = 286,672 : x
  2. Step 2: Convert to fraction form
    182,700/286,672 = 286,672/x
  3. Step 3: Cross multiply
    182,700x = 286,672 × 286,672
  4. Step 4: Simplify right side
    182,700x = 82,180,835,584
  5. Step 5: Solve for x
    x = 82,180,835,584/182,700
  6. Step 6: Final answer
    x = 449,813.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.